Question

Find the quadratic polynomial where sum and product of the zeros are a and 1by a

Answer 1

Answer:

Product of zeroes = αβ = 1/a = c/a

Sum of zeroes = α + β = a = a/1 = -b/a

a = a, b = -a, c= 1

Quadratic Polynomial = a² - a + 1

Step-by-step explanation:

Answer 2

Given sum of zeros S = a  and product P = 1/a

Quadratic polynomial = x² - Sx + P = 0

ie, x² - ax + 1/a = 0